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Finding the Third Proportional to 514,908.75 and 1,121,356.50

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Solution

The third proportional to 514,908.75 and 1,121,356.50 is: 2,442,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,908.75 : 1,121,356.50 = 1,121,356.50 : x
  2. Step 2: Convert to fraction form
    514,908.75/1,121,356.50 = 1,121,356.50/x
  3. Step 3: Cross multiply
    514,908.75x = 1,121,356.50 × 1,121,356.50
  4. Step 4: Simplify right side
    514,908.75x = 1,257,440,400,092.25
  5. Step 5: Solve for x
    x = 1,257,440,400,092.25/514,908.75
  6. Step 6: Final answer
    x = 2,442,064.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.